Question

What is the value of sin(–1600)?

a) 0
b) 1
c) -1
d) Undefined

Answer 1

The value of sin(-1600) is Undefined.

Step-by-step explanation:

The value of sin(–1600) is Undefined.

The sine function is periodic with a period of 360 degrees or 2π radians. This means that sin(x) = sin(x ± 360) = sin(x ± 2π) for any value of x. Since -1600 is outside the range of one full period, we cannot determine the exact value of sin(-1600). Therefore, the value is undefined.

It is important to note that sine values oscillate between -1 and 1 as the angle increases or decreases from 0 to 360 degrees (or 0 to 2π radians).